6 papers
On 4-dimensional convex projective domains invariant by a lattice of
Ludovic Marquis, Pierre-Louis Blayac
This paper is a sequel to the erratum by the authors to a paper by Crampon and Marquis (see arXiv:1202.5442). The main result of the Erratum was relating several notions of geometr…
Hitchin grafting representations I: Geometry
Pierre-Louis Blayac, Ursula Hamenstädt, Théo Marty
We give a geometric interpretation of Fock--Goncharov positivity and show that bending deformations of Fuchsian representations stabilize a uniform Finsler quasi-convex disk in the…
Hitchin grafting representations II: Dynamics
Pierre-Louis Blayac, Ursula Hamenstädt, Théo Marty +1
The Hitchin component of the character variety of representations of a surface group into for some can be equipped with a pressure…
Finitude géométrique en géométrie de Hilbert + an erratum/addendum
Pierre-Louis Blayac, Mickaël Crampon, Ludovic Marquis
The paper is divided in 2 parts. The first part is the original paper of the second and third authors arXiv:1202.5442v2. The second part is an erratum/addendum written in english a…
Counting, mixing and equidistribution for GPS systems with applications to relatively Anosov groups
Pierre-Louis Blayac, Richard Canary, Feng Zhu +1
We establish counting, mixing and equidistribution results for finite BMS measures on flow spaces associated to geometrically finite convergence group actions. We show that, in par…
Patterson-Sullivan theory for coarse cocycles
Pierre-Louis Blayac, Richard Canary, Feng Zhu +1
In this paper we develop a theory of Patterson--Sullivan measures associated to coarse cocycles of convergence groups. This framework includes Patterson-Sullivan measures associate…